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Finding the Fourth Proportional to 50,573.04, 75,881.43 and 19,401

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Solution

The fourth proportional to 50,573.04, 75,881.43 and 19,401 is: 29,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,573.04 : 75,881.43 = 19,401 : x
  2. Step 2: Convert to fraction form
    50,573.04/75,881.43 = 19,401/x
  3. Step 3: Cross multiply
    50,573.04x = 75,881.43 × 19,401
  4. Step 4: Simplify right side
    50,573.04x = 1,472,175,623.43
  5. Step 5: Solve for x
    x = 1,472,175,623.43/50,573.04
  6. Step 6: Final answer
    x = 29,109.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.